What is the solution to the system graphed below? PLS ANSWER WILL MARK BRAINLIST

What Is The Solution To The System Graphed Below? PLS ANSWER WILL MARK BRAINLIST

Answers

Answer 1

The solution to the system graphed is (2, 0).

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that changes over time is represented by a line graph.

Given:

From the graph we have two line red and purple.

The intersecting point for both line is (2, 0).

Hence, the solution to the system graphed is (2, 0).

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Related Questions

Select the correct answer.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A.
h(2) = 16
B.
h(-3) = -1
C.
h(8) = 21
D.
h(13) = 18

Answers

Option A. The statement that can be said to be true for h is h(2) = 16

How to get the domain

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

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Use the Product Rule of Logarithms to write the completely expanded expression equivalent to log4 (6(5 + 2x)). Make sure
to use parenthesis around your logarithm functions log(x + y).

Answers

[tex]log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)[/tex] is the completely expanded logarithmic expression .

What are logarithms ?

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

Calculations

the product rule for logarithms is

[tex]log_{b}(MN) = log_{b}(M) + log_{b}(N)[/tex]  for b > 0

now ,

[tex]log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)[/tex]

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What's the area of a rectangle with side lengths of 6/8 metter and 4/10 metter?

Answers

Answer:

3/10 meters^2

Step-by-step explanation:

we multiply length by width to get are

6/8x4/10

6*4/8*10

24/80

3/10

Hopes this helps please mark brainliest

Answer: Hi the answer to that would be 3/10.

Step-by-step explanation: The first one explains the formula and the second one shows my work. I hope this helps!!!

The base of a triangle is one half of its height. If the area of the triangle is 196 square millimeters,
find its base and height.

Answers

Step-by-step explanation:

the area of a triangle is

base × height / 2

in our case

base × height / 2 = 196 mm²

base × height = 392

base = height / 2

so, using that in our main equation :

(height / 2) × height = 392

height² = 784

height = sqrt(784) = 28 mm

base = height / 2 = 28/2 = 14 mm

A plane car fly 300 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph
slower than the plane, find the speed of the plane.
Using r as your variable to represent the speed of the plane in miles per hour, write an equation
using the information above that can be solved to find the answer to this problem.
Equation:____?
The plane flies___?

Answers

The plane flies at a speed of 150mph

A plane can fly 300 miles in the same time as it takes a car to go 120 miles

Let the time taken be t

Let the speed of the plane be x

the car travels 90 mph slower than the plane,

Speed of the car is x - 90

Speed = distance / time

Time taken by plane = time taken by car

300/ x = 120/x - 90

300(x - 90) = 120x

300x - 27000 = 120x

300x - 120x = 27000

180x = 27000

x = 27000/180

x = 150

Therefore, the plane flies at a speed of 150mph

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Factorise this expression as fully as possible
2xy^2 + 8y

Answers

2y(xy+4)

Hope this answers your question!

Answer:

2y(xy+4)

Step-by-step explanation:

First, Distribute

you get 2y(xy+4) because you have to isolate the like terms than find a gcf of the terms

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3x+=x+5
4
2
6
12
10

Answers

If you multiply by 12 you will get rid of all your fractions.

What are linear equations?

In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

It is rather simple to locate both intercepts when an equation is stated in this way (x and y).

The given linear equation is

6 - (3/4)x + (1/3) = (1/2)x + 5

In this equation the fractions are
(3/4), (1/3) and (1/2)

Take the LCM of 4, 3, and 2

LCM(4, 3, 2) = 12

So, if we multiply the equation with the number 12  we can eliminate the fractions.

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i need someone to help me with my math test 24 questions please

Answers

Answer:

Add the picturess!!!!!

Step-by-step explanation:

A restaurant manager recorded the number of people in different age groups who attended their food festival. They created the following histogram:

Histogram with title Food Festival Participants, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79, and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.

What percentage of the participants are ages 40 to 59? Round to the nearest whole percent.

20%

35%

60%

100%

Answers

According to the histogram, the percentage of participants aged 40 to 59, who attended the restaurant's food festival, is 35%.

What is a histogram?

A histogram approximately represents a distribution of grouped data with numerical values.

A histogram uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            20

20 to 39                         40

40 to 59                         60

60 to 79                         50

Total                             170

Percentage of ages 40 to 59  =  60/170 x 100 = 35.29%

Thus, using the histogram, we can assure the restaurant manager that 35% of the festival participants are between 40 and 59 years old.

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Given: Gross sales, $170,000; sales returns and allowances, $9,000; beginning inventory, $8,000; net purchases, $18,000; ending inventory, $5,000; and operating expenses, $56,000. a. Calculate net sales. b. Calculate cost of merchandise (goods) sold. c. Calculate gross profit from sales. d. Calculate net income.

Answers

The calculation of the following income statement figures are as follows:

a) Net Sales are $161,000.b) Cost of goods sold is $21,000.c) The gross profit from sales is $140,000.d) The net income is $84,000.

What is the income statement?

The income statement is the first financial statement that summarizes the revenues and expenses for a business period to arrive at different profit points.

One of the profit points is the gross profit, which is the difference between the sales revenue and the cost of goods sold.

The other profit points include the operating income, income before tax, and net income.

Income Statement

Gross sales                            $170,000

Sales returns and allowances   9,000

Net Sales                               $161,000

Cost of goods sold:

Beginning inventory $8,000

Net purchases           18,000

Ending inventory       (5,000) $21,000

Gross profit                          $140,000

Operating expenses             (56,000)

Net Income                          $84,000

Thus, the calculation of the income statement figures shows a net income of $84,000.

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(7x-7)
63°
(3x +45)
(9-4)
Find x and y

Answers

Answer:

x+7=4/3x-1/3 One solution was found : x = 22 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3x-9/4x-12: correct answer right here

Step-by-step explanation:

Find the slope and reduce.
P=(2, 3) Q=(9, 7)

Answers

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Slope = m

m = [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{7-3}{9-2}[/tex] = [tex]\frac{4}{7}[/tex]

some help me pls with this
Solve the equation: r - 535 = 175

Answers

Step-by-step explanation:

r - 535 = 175

r = 175 + 535 = 710

Answer:

take - 535 to the other side (over equal to side)

which makes it +535

r = 175 + 535

r = 710

Find two z values so that the middle 67% of the area is bounded by them.

Answers

The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

What is a standard normal distribution?

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44  and -0.44.

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The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

What is a standard normal distribution?

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44 and -0.44.

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Here's a brain teaser.
(I already know the answer)
1=5
2=10
3=15
4=20
5=?

Answers

Answer:

5 = 1

or

5 = 25

Step-by-step explanation:

I've seen two answers to this.

1. Since we are told 1 = 5, then 5 = 1.

One answer is 1 = 5

2. Since each number on the right is 5 times the number on the left, then 25 corresponds to 5, and 5 = 25.

Answer: 5=1 (The correct answer) 5=25 (The answer that makes sense but is not correct).

Step-by-step explanation:

Explanation for answer 1: It say's that 1 = 5.

Explanation for answer 2: If we follow the pattern of adding 5 each time we go up a number then 5 would equal 25.

Cp when Sp is 5625 and profit is 25%​

Answers

4500 is the Cost price.

What do you mean by price at cost?

Cost price is the total sum of money that it costs a manufacturer to make a particular good or offer a particular service.The cost price of an item is the price at which it is produced or the price at which it is purchased. C.P. stands for "cost price." Selling Price: A product's selling price is the cost at which it is sold.

SP = 5625

Profit = 25%

CP = ?

 CP =    5625/125 * 100

       = 45 * 100

       = 4500

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Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?

Answers

The number of points scored by Tyger will be 132 points.

What is the number of points?

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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The number of points scored by Tyger will be 132 points.

What is the number of points?

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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Find the slope of the line that contains the points named.
P(1, 2), Q(3, 4)
0-1
01
02

Answers

Answer:

If the coordinates of at least two points in the line are given, the slope (m) may be calculated by,                               m = (y2 - y1) / (x2 - x1

is the ordered pair (2, 4) a solution to the following equation
5x + 2y = 23?

Answers

Answer: Can't Say for sure but probably it is so I would Say Yes.

What expression has the same value as 2(5x + 2) - (3y)2x – 4x

Answers

Answer:

10x+6xy+4

Step-by-step explanation:

2(5x+2)-(3y) 2x-4x

By removing the bracket

10x+4-6xy+12xy

10x+4+6xy

10x+6xy+4

Timothy plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. Each step has the dimensions shown in the sketch.



What will be the length of the railing?

Answers

The length of the railing is 105.81 inches.

Given,

The stair has 7 steps

The rise of each step = 8.5 inches

The tread of each step = 12.5 inches

Slope of each step = x

We have to find the length of the railing.

Length of railing = 7x

Then,

Slope of step, x can be determined using Pythagorean theorem.

Let rise be the height of the right angled triangle and tread be the base of the triangle

Then,

Hypotenuse= Slope, x  = [tex]\sqrt{Rise^{2} + Tread^{2} }[/tex]

x = [tex]\sqrt{8.5^{2}+ 12.5^{2} }[/tex]

x = [tex]\sqrt{72.25 + 156.25}[/tex]

x = √228.5

x = 15.12 inches

That is,

The slope, x of one step is 15.12 inches

Now,

Length of the railing = 7x = 7 × 15.12 = 105.81 inches

Therefore,

The length of the railing is 105.81 inches.

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what is the place value of digit 4 in 405799

Answers

What is the place value of digit 4 in 405,799:

4: one hundred thousandth place

0: ten thousandth place

5: one thousandth place

7: hundredth place

9: tens place

9: ones place

Answer:

100,000 thousand

Step-by-step explanation:

The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.

A famous leaning tower was originally 180.5 feet high At a distance of 125 feet from the base of the tower, the angle of olevation to the top of the tower is found to be 56° Find ZRPQ indicated in the figure. Also find the perpendicular distance from R to PQ ​

Answers

The perpendicular distance from R to PQ is ​346 feet.

What are the trigonometric functions?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

We have,

consider the sides of leaning tower are,

opposite side of the angle 56° (x) = 180.5 feet.

Adjacent side of the angle 56° (y) = 125 feet.

We know,

[tex]tan\theta =\frac{ opposite \ side}{ adjacent \ side} = \frac{x}{y}[/tex]

[tex]\theta = \ tan^{-1} \left(\frac{ opposite \ side}{ adjacent \ side} \right)[/tex]

The angle of elevation is  [tex]\theta = \ tan^{-1} \left(\frac{180.5 }{125} \right)[/tex]

θ = 56°

The perpendicular distance from R to PQ is RQ ​

[tex]sin\theta = \frac{opposite side}{hypotanous} = \frac{180.5}{y}[/tex]

sin(56) = 180.5/PQ

RQ = 180.5/sin(56)

RQ = - 346.08

RQ = 346 (distance never be negative),

Hence, the perpendicular distance from R to PQ is ​346 feet.

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solve the equation 619m + 313m = 2813for m.

Answers

Answer:

        2813

m = ----------

         932

Step-by-step explanation:

619m + 313m = 2813

932m = 2813

÷932      ÷932

        2813

m = ----------

         932

I hope this helps!

Answer:

[tex]m=\frac{2813}{932}[/tex]

Step-by-step explanation:

Combine like terms:

[tex]{619m}+{313m}=2813{932m}=2813[/tex]

Divide both sides by the same factor:

932m=2813

[tex]\frac{932m}{932}}=\frac{2813}{932}}\\[/tex]

Simplify

Cancel terms that are in both the numerator and denominator

[tex]m=\frac{2813}{932}[/tex]

What is the y intercept of the line -3x+2y=6 ?
O
-3
-2
2
3

Answers

Answer:

positive 3

Step-by-step explanation:

Steps:

1. first you must get y by itself/isolate it to one side of the equation to get it in the format of y = mx + b

-3x + 2y = 6

+3x           +3x            add 3x to both sides to get 2y by itself
____________

2y = 3x + 6                -3x+3x cancels out and becomes 0

-------------------------
         2                        divides both sides by 2 to get y by itself

y = (3/2)x + 3

2. Looking at the equation, we know that 3 is the y-intercept because the "b" in the slope-intercept equation is always the y-intercept.

Question 2 (1 point)
Determine the sequence and the common difference.
9, 14, 19, 24

Answers

Answer:

5 is added each time. the next numbers are, 29, 34 and 39

Step-by-step explanation:

9+5 = 14 14+5=19 19+5=24

why is not inverse function??
[tex]f(x) = x {}^{2} - 9[/tex]

Answers

The equation formed when x is the subject of the function f(x) = x² - 9, has two values of output for each input value to the function, therefore;

f(x) = x² - 9 does not have an inverse.

What is the inverse of a function?

An inverse of a function is an anti function that reverses the values in the output into the input values thereby undoing the operations performed by the function.

A function f has an inverse if and only if it is bijective, such that there is a one to one correspondence between the set of the input elements and the set of the output elements

A function that has an inverse is said to be a bijective or invertible function or a function with one-to-one correspondence

The function in the question f(x) = x² - 9

Making x the subject of the function to verify if it has an inverse gives;

x² = f(x) + 9

[tex]x = \pm\sqrt{f(x) +9}[/tex]

Putting x = f⁻¹(x) gives;

[tex]f^{-1}(x) = \pm\sqrt{x +9}[/tex]

Therefore, each value of x gives two values of f⁻¹(x), such that the set of the output of inverse function, f⁻¹(x) does not have a one-to-one correspondence with the set of values of x.

The function f(x) = x² - 9 is not invertible and therefore does not have an inverse function.

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a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape
ice concentrate is 3 to 1.
a. Find two more ratios of cups of sparkling water to cups of juice concentrate that
would make a mixture that tastes the same as this recipe.
b. Describe another mixture of sparkling water and grape juice that would taste
different than this recipe.

Lesson 3 Practice Problem

Answers

Answer:

3:2

Step-by-step explanation:

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1

ratio of cups of sparkling water : cups of grape juice concentrate = 3 : 1

Equivalent ratio to 3 : 1 are

6 : 2,

9 : 3,

12 : 4

15 : 5

21 : 7

Non equivalent ratio of 3 : 1 are

3 : 2

4 : 2

5 : 5

6 : 4

Therefore, another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the
same as this recipe.
Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice
concentrate
Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1
ratio of cups of sparkling water : cups of grape juice concentrate = 3: 1
Equivalent ratio to 3 : 1 are
6:2.
9:3.

Given that f(x)=x+4 and g (x)=3x/x+1 (1) determine the value of f(9)​

Answers

The value of f(9) is 13

The function f(x) = x + 4

The function g(x) = 3x / x+1

The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input  and output.

The function

f(x) = x + 4

We have to find the value of f(9)

We have to substitute the value of x = 9 in the function

f(9) = 9 + 4

Add the terms

f(9) = 13

Hence, the value of f(9) is 13

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which function has the greater y-intercept?
y=-x+6 x: -1, 0, 1, 2, 3
y: 7,6,5,4,3

y=2x-3 x: -1, 0, 1, 2, 3
y: -5, -3, -1, 1, 3

Answers

By evaluating in x = 0, we can see that the function with the greater y-intercept is the first one:

y=-x+6

Which function has the greater y-intercept?

For any function y = f(x), we define the y-intercept as the value that y takes when we evaluate the function in x = 0.

For the first function:

y = -x + 6

The y-intercept is:

y = -0 + 6 = 6

While for the second function:

y = 2x - 3

Evaluating in 0 we get:

y = 2*0 - 3 = -3

So the y-intercept of the first function is 6, and the one of the second function is -3.

Then the first function has the greater y-intercept.

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in the context of abc inventory analysis, which of the following statements is true of class c items? question 8 options: they require close control by operations managers. they comprise more than 80 percent of the total dollar usage. they can be managed using automated computer systems. they make up less than 10 percent of inventory items. adult ticketsA total of 390 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times tinumber of adult tickets sold. How many adult tickets were sold? To convert four ounces to milliliters,the NA should multiply four bya.15b.20C. 25d. 30 Think about your use of social media sites. What is an example of a social reward that you get when using social media? What is an example of a social punishment? Are you more motivated by either the reward or the punishment, that you can tell? Explain your answer. What is the equation of the line that passes through the point (4, 6) and has a slopeof o? Complete the following sentences with the correct conjugation of the e-ie or o-ue stem-changing verbs. Define the verb.1.) Quieres trabajar hoy? No, yo _______________ dormir. (preferir) _______________2.) Hace fro. Ud. _______________ la ventana, por favor. (cerrar) _______________3.) Nosotros _______________ ftbol despus de clase. (jugar) _______________4.) l _______________ su lapz todos los das. (perder) _______________5.) Ellos _______________ en sus camas. (dormir) _______________6.) Mara y yo _______________ en la cafetera. (almorzar) _______________7.) T _______________ ir al concierto? (querer) _______________8.) Vosotros _______________ maana? (volver) _______________( ASAP ) within 10 mins please! The goals in a hockey rink are 6 feet wide. A hockey player is standing 25 feet directly in front of the left side of one of the goals. a) what is the maximum angle at which the player can shoot the puck to make it in the goal?b) if the player skates forward 5 feet, how wide of a range of angles can the player shoot the puck to make it in the goal?c) describe what happens to the maximum angle as the player gets closer to the goal in general, which of the following rankings, from highest to lowest cost, is most accurate? group of answer choices cost of preferred stock, cost of new common stock, cost of retained earnings, cost of debt cost of new common stock, cost of preferred stock, cost of debt, cost of retained earnings cost of new common stock, cost of retained earnings, cost of preferred stock, cost of debt cost of debt, cost of preferred stock, cost of new common stock, cost of retained earnings what side (North or South) had the advantage in industry workers, railroad mileage, and firearms production? PLEASEEEE HELPPPP GIVING 25 POINTS I NEED THE ANSWER RNwhich innovation does the photograph illustrate labor strike power plant bessemer process assembly line Which statement best shows that waves can carry energy?Sounds can be recorded.A rainbow shows a spectrum of colors.You feel vibrations if loud sounds are played.Light shining through some trees makes shadows. I will do brainliest 30pts The map illustrates the various resistance groups that attempted to stop (or at least slow) European colonization. Using the identified dates of each rebellion or resistance movementWhat are several areas that lasted the longest?What are several areas that fell to European conquest early on? in the video, what do both managers suggest should be done to ensure that effective communication is taking place? Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $22, then how many games did Shakira bowl? Please help Graph -8+x=4y-16 A math class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form. the excess of government spending over tax collections is: multiple choice national income. national saving. national wealth. the government budget deficit. Under the principle of limited government, what is the supreme authority over U.S. citizens? A. Congress B. Supreme Court C. U.S. Constitution D. The presidency Let ()=94+2+2. Compute (5)() . kyle knows that his spring break travel packages are the best deal on campus. he also knows his competitor is sloppy, often waiting until the last minute to provide the needed tickets and documents to students buying his island packages. kyle wants to develop an advertising message that emphasizes the key benefits he provides. he will develop a(n) blank appeal.